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4048800088404 = 2234735292034209
BaseRepresentation
bin111010111010101111010…
…010101000000101010100
3112100001122211200001021210
4322322233102220011110
51012313420310312104
612335554301141420
7565342016626251
oct72725722500524
915301584601253
104048800088404
1113210a5109345
12554826b5a870
13234a530a52a6
14ddd6a564428
15704ba330989
hex3aeaf4a8154

4048800088404 has 48 divisors (see below), whose sum is σ = 9650943187200. Its totient is φ = 1320510191616.

The previous prime is 4048800088331. The next prime is 4048800088423.

It is a happy number.

4048800088404 is nontrivially palindromic in base 10.

4048800088404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40488000884043 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973252 + ... + 3007460.

It is an arithmetic number, because the mean of its divisors is an integer number (201061316400).

Almost surely, 24048800088404 is an apocalyptic number.

It is an amenable number.

4048800088404 is an abundant number, since it is smaller than the sum of its proper divisors (5602143098796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4048800088404 is a wasteful number, since it uses less digits than its factorization.

4048800088404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037792 (or 2037790 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 4048800088404 in words is "four trillion, forty-eight billion, eight hundred million, eighty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 3529 7058 10587 14116 21174 42348 165863 331726 497589 663452 995178 1990356 2034209 4068418 6102627 8136836 12205254 24410508 95607823 191215646 286823469 382431292 573646938 1147293876 7178723561 14357447122 21536170683 28714894244 43072341366 86144682732 337400007367 674800014734 1012200022101 1349600029468 2024400044202 4048800088404